46409340320640 has 1024 divisors, whose sum is σ = 181888859750400. Its totient is φ = 11090027520000.

The previous prime is 46409340320621. The next prime is 46409340320659. The reversal of 46409340320640 is 4602304390464.

It is a happy number.

46409340320640 is a `hidden beast` number, since 4 + 6 + 409 + 34 + 0 + 3 + 206 + 4 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (46409340320621) and next prime (46409340320659).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 3759966309 + ... + 3759978651.

It is an arithmetic number, because the mean of its divisors is an integer number (177625839600).

Almost surely, 2^{46409340320640} is an apocalyptic number.

46409340320640 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 46409340320640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90944429875200).

46409340320640 is an abundant number, since it is smaller than the sum of its proper divisors (135479519429760).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

46409340320640 is a wasteful number, since it uses less digits than its factorization.

46409340320640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12664 (or 12646 counting only the distinct ones).

The product of its (nonzero) digits is 1492992, while the sum is 45.

The spelling of 46409340320640 in words is "forty-six trillion, four hundred nine billion, three hundred forty million, three hundred twenty thousand, six hundred forty".